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Finding the Fourth Proportional to 75,664.31, 113,426.33 and 33,521.88

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Solution

The fourth proportional to 75,664.31, 113,426.33 and 33,521.88 is: 50,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664.31 : 113,426.33 = 33,521.88 : x
  2. Step 2: Convert to fraction form
    75,664.31/113,426.33 = 33,521.88/x
  3. Step 3: Cross multiply
    75,664.31x = 113,426.33 × 33,521.88
  4. Step 4: Simplify right side
    75,664.31x = 3,802,264,080.84
  5. Step 5: Solve for x
    x = 3,802,264,080.84/75,664.31
  6. Step 6: Final answer
    x = 50,251.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.